Absorbing-state phase transition for driven-dissipative stochastic dynamics on Z

• 成果类型: Article
• 署名作者: Rolla, Leonardo T.; Sidoravicius, Vladas
• 署名单位: Universite PSL; Ecole Normale Superieure (ENS)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0344-5
• 发表日期: 2012
• 页码: 127-150
• 关键词: critical-behavior; SPREAD; sandpile; MODEL

摘要

We study the long-time behavior of conservative interacting particle systems in Z: the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbing-state phase transition.